The nonperturbative functional renormalization group and its applications
The renormalization group plays an essential role in many areas of physics, both
conceptually and as a practical tool to determine the long-distance low-energy properties of …
conceptually and as a practical tool to determine the long-distance low-energy properties of …
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
Strong electronic correlations pose one of the biggest challenges to solid state theory.
Recently developed methods that address this problem by starting with the local, eminently …
Recently developed methods that address this problem by starting with the local, eminently …
Tracking the footprints of spin fluctuations: A multimethod, multimessenger study of the two-dimensional Hubbard model
The Hubbard model represents the fundamental model for interacting quantum systems and
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
electronic correlations. Using the two-dimensional half-filled Hubbard model at weak …
Pseudo-fermion functional renormalization group for spin models
For decades, frustrated quantum magnets have been a seed for scientific progress and
innovation in condensed matter. As much as the numerical tools for low-dimensional …
innovation in condensed matter. As much as the numerical tools for low-dimensional …
High-frequency asymptotics of the vertex function: Diagrammatic parametrization and algorithmic implementation
Vertex functions are a crucial ingredient of several forefront many-body algorithms in
condensed matter physics. However, the full treatment of their frequency and momentum …
condensed matter physics. However, the full treatment of their frequency and momentum …
Quantitative functional renormalization group description of the two-dimensional Hubbard model
Using a leading algorithmic implementation of the functional renormalization group (fRG) for
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …
interacting fermions on two-dimensional lattices, we provide a detailed analysis of its …
Real-frequency quantum field theory applied to the single-impurity Anderson model
A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …
correlation functions. For comparisons with experiment, one is interested in their real …
Fingerprints of the local moment formation and its Kondo screening in the generalized susceptibilities of many-electron problems
We identify the precise hallmarks of the local magnetic moment formation and its Kondo
screening in the frequency structure of the generalized charge susceptibility. The sharpness …
screening in the frequency structure of the generalized charge susceptibility. The sharpness …
Boson-exchange parquet solver for dual fermions
We present and implement a parquet approximation within the dual-fermion formalism
based on a partial bosonization of the dual vertex function which substantially reduces the …
based on a partial bosonization of the dual vertex function which substantially reduces the …
Multiloop functional renormalization group approach to quantum spin systems
Renormalization group methods are well-established tools for the (numerical) investigation
of the low-energy properties of correlated quantum many-body systems, allowing us to …
of the low-energy properties of correlated quantum many-body systems, allowing us to …